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11387968 = 26612917
BaseRepresentation
bin101011011100…
…010001000000
3210102120100121
4223130101000
510403403333
61044030024
7165540034
oct53342100
923376317
1011387968
116478a49
123992314
132489557
1417261c4
15eee32d
hexadc440

11387968 has 28 divisors (see below), whose sum is σ = 22976332. Its totient is φ = 5598720.

The previous prime is 11387953. The next prime is 11388017. The reversal of 11387968 is 86978311.

It can be written as a sum of positive squares in 2 ways, for example, as 6512704 + 4875264 = 2552^2 + 2208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2446 + ... + 5362.

Almost surely, 211387968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488166).

11387968 is an abundant number, since it is smaller than the sum of its proper divisors (11588364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11387968 is an equidigital number, since it uses as much as digits as its factorization.

11387968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2980 counting only the distinct ones).

The product of its digits is 72576, while the sum is 43.

The square root of 11387968 is about 3374.6063474130. The cubic root of 11387968 is about 224.9825039893.

The spelling of 11387968 in words is "eleven million, three hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 2917 3904 5834 11668 23336 46672 93344 177937 186688 355874 711748 1423496 2846992 5693984 11387968